Number and Operations in Base Ten

Generalize place value understanding for multi-digit whole numbers.

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This 75-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 4 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K-3 and 5. | Instructional Strategy, Reference Materials Grade Level: 4 | |

This page provides examples of 4th Grade Number (Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number Operations-Fractions) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the 4th Grade Number Activities listed are in PDF format. | Activity, Game Grade Level: 4 | |

This question and answer service for math students and their teachers offers a searchable archive all about numbers and number sense at the elementary level. | Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

This question and answer service for math students and their teachers offers a searchable archive all about place value at the elementary level. Topics addressed include rounding, estimating, significant digits, and scientific notation. | Community Grade Level: 3, 4, 5, 6+ | |

In this 5-minute video a mathematics teacher demonstrates how she incorporates accessibility strategies into her physical classroom environment. Several details are shown about the organization and management of a math classroom with a view toward accessibility, expectations, kinesthetic involvement, and a positive environment. | Instructional Strategy, Video Grade Level: 3, 4, 5 | |

Students use this interactive Flash applet to practice comparing pairs of numbers and indicating their relationship by using greater than or less than symbols (> or <) to complete number sentences. Three levels provide practice with numbers up to 100, 1000, and 10000. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

This unit contains two lessons which help students develop number sense through activities involving collection, representation, and analysis of data. Students also practice reading and writing large numbers and develop estimation skills. In Lesson 1, Every Breath You Take, students estimate the number of breaths taken during a specified time, experiment, and display real-life data. In Lesson 2, Making Your First Millions, students develop the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition. They analyze situations and identify patterns that will enable them to develop the concept of large numbers. Each lesson includes student activity sheets, an instructional plan, and extensions. | Activity, Experiment/Lab Activity, Lesson Plans, Unit of Instruction Grade Level: 3, 4, 5, 6+ | |

This place value and problem solving lesson focuses on forming 3-digit address numbers to meet specific requirement. The lesson provides an opportunity for learners to use the problem-solving strategies of looking for patterns and establishing an organized list. Students also learn that careful reading of information and understanding of mathematical language are important to finding appropriate solutions. | Activity, Lesson Plans Grade Level: 2, 3, 4, 5 | |

This collection of 6 games develops place value, operation sense and fluency, estimation, and strategic thinking. It is played on paper with a 6- or 9-sided die (printable pdf game sheets included). Players choose a game grid with empty cells representing the digits of a computation (addition, subtraction, multiplication, or division). They take turns rolling a die and placing the resulting number in a cell on their own grids. The goal is to create a sum/difference/product/quotient that is closest to a target number. Variations include using a decimal point and scoring options. Teachers' Notes include suggestions for introducing the game, discussion questions, support suggestions, and a link to a more challenging extension (Countdown, cataloged separately). | Activity, Game Grade Level: 2, 3, 4, 5, 6+ | |

This interactive applet helps develop number sense. The user mentally estimates a number that is represented by an arrow on a number line and then checks the estimate by clicking to have the exact number revealed. Users can choose a number range for whole numbers (between 0 and 10, 100, 1000 or 10,000) or decimals (tenths or hundredths between 0 and 1). An optional scale of tick marks provides guidance. The activity does not provide a scoring component. | Interactive Media Grade Level: K, 1, 2, 3, 4, 5 |